Evaluation of Nonlinear Fourier-Based Maximum Wave Height Predictors Under the Nonlinear Schrödinger Equation

Conference paper (2022)

Authors

Y.C. Lee Team Sander Wahls - Mechanical, Maritime and Materials Engineering

S. Wahls Team Sander Wahls - Mechanical, Maritime and Materials Engineering

M. Brühl Team Sander Wahls - Mechanical, Maritime and Materials Engineering

Research Group

Team Sander Wahls (Mechanical, Maritime and Materials Engineering) (TU Delft)

Time series Fourier transforms Waves Schrödinger equation Water Solitons Oceans Wind waves Seas Spectra (Spectroscopy) Surface waves (Fluid) Wave amplitude

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Published Date

2022

Language

English

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Delft Center for Systems and Control

Research Group

Team Sander Wahls

Abstract

Rogue waves are extreme waves in the ocean that appear from nowhere and disappear without a trace. They are usually modelled by the nonlinear Schrödinger equation (NLS), which describes nonlinear phenomena such as modulational instability and solitons on finite backgrounds. In this study, the periodic nonlinear Fourier transform (NFT) for the NLS equation is applied to simulate ocean surface waves in deep water. The temporal and spatial structures of surface waves are obtained by evolving JONSWAP time series using the NLS equation. Several parameters extracted from the NFT spectra of the initial time series are investigated as predictors for the maximum wave height during evolution. We investigate several parameters from the literature, and find that with suitably optimized coefficients, a NFT-based parameter based on the largest unstable mode has a good correlation with the overall maximum wave amplitude. This new spectral criterion can contribute to rogue wave forecasting under extreme sea states.